103859382674520 has 640 divisors, whose sum is σ = 396198007603200. Its totient is φ = 24173947929600.

The previous prime is 103859382674519. The next prime is 103859382674557. The reversal of 103859382674520 is 25476283958301.

103859382674520 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 9 + 38 + 2 + 6 + 74 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139944586 + ... + 140684774.

It is an arithmetic number, because the mean of its divisors is an integer number (619059386880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅103859382674520 = 207718765349040, but 3⋅103859382674520 = 311578148023560 is not.

Almost surely, 2^{103859382674520} is an apocalyptic number.

103859382674520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103859382674520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198099003801600).

103859382674520 is an abundant number, since it is smaller than the sum of its proper divisors (292338624928680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103859382674520 is a wasteful number, since it uses less digits than its factorization.

103859382674520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740381 (or 740368 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 103859382674520 in words is "one hundred three trillion, eight hundred fifty-nine billion, three hundred eighty-two million, six hundred seventy-four thousand, five hundred twenty".